4 papers · 1 filter
Convergence rates of Landweber-type methods for inverse problems in Banach spaces
Qinian Jin
Landweber-type methods are prominent for solving ill-posed inverse problems in Banach spaces and their convergence has been well-understood. However, how to derive their convergenc…
Convergence analysis of a stochastic heavy-ball method for linear ill-posed problems
Qinian Jin, Yanjun Liu
In this paper we consider a stochastic heavy-ball method for solving linear ill-posed inverse problems. With suitable choices of the step-sizes and the momentum coefficients, we es…
An adaptive heavy ball method for ill-posed inverse problems
Qinian Jin, Qin Huang
In this paper we consider ill-posed inverse problems, both linear and nonlinear, by a heavy ball method in which a strongly convex regularization function is incorporated to detect…
Stochastic variance reduced gradient method for linear ill-posed inverse problems
Qinian Jin, Liuhong Chen
In this paper we apply the stochastic variance reduced gradient (SVRG) method, which is a popular variance reduction method in optimization for accelerating the stochastic gradient…